Compare Linear Functions

Compare the rates of change. Do they have the same rate of change? If they have different rates of change, which one is greater?

Who is losing weight faster?

What is the rate of change for each function, and which one has the greater rate of change?

Who has the greater rate of change?

Who has a greater rate of change? (slope)

What type of slope is shown on this graph?

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits. y = 3x + 10 What does the y-intercept (b) of the graph of this equation represent?

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.

y = 1/2x + 10

What does the slope (m) of the graph of this equation represent?

Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a higher slope?

Equation A: y = 3x - 1

Equation B: y = 1/2x + 1

Which equation has a higher y-intercept?